An infinite sum polynomial triangular sequence of coefficients that gives a LerchPhi polynomial: p(x,n)=(1 - x)^(n + 1)*Sum[(n + k)^n*x^k, {k, 0, Infinity}]=(1+x)^n*LerchPhi[x,-n,n].
A142158
An infinite sum polynomial triangular sequence of coefficients that gives a LerchPhi polynomial: p(x,n)=(1 - x)^(n + 1)*Sum[(n + k)^n*x^k, {k, 0, Infinity}]=(1+x)^n*LerchPhi[x,-n,n].
Terms
- a(0) =0a(1) =1a(2) =1a(3) =4a(4) =-3a(5) =1a(6) =27a(7) =-44a(8) =31a(9) =-8a(10) =256a(11) =-655a(12) =731a(13) =-389a(14) =81a(15) =3125a(16) =-10974a(17) =17026a(18) =-13934a(19) =5901a(20) =-1024a(21) =46656a(22) =-208943a(23) =418377a(24) =-465898a(25) =300182a(26) =-105279a(27) =15625a(28) =823543a(29) =-4491192
External references
- oeis: A142158